What is the value of the sum \(\mathop \sum \limits_{{\rm{n}} = 2}^{11} \left( {{{\rm{i}}^{\rm{n}}} + {{\rm{i}}^{{\rm{n}} + 1}}} \right),\) where \({\rm{i}} = \sqrt { - 1} ?\)

What is the value of the sum \(\mathop \sum \limits_{{\rm{n}} = 2}^{11

1.	What is the value of the sum \(\mathop \sum \limits_{{\rm{n}} = 2}^{11} \left( {{{\rm{i}}^{\rm{n}}} + {{\rm{i}}^{{\rm{n}} + 1}}} \right),\) where \({\rm{i}} = \sqrt { - 1} ?\)
A.	i
B.	2i
C.	-2i
D.	1 + i
Answer» D. 1 + i